{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 模拟退火算法\n",
    "\n",
    "- 优化函数(要使之最小)为: $f:x\\rightarrow R^+$  \n",
    "- 给定初始温度$T_0$和初始解$x(0)$, 并由$x_0$生成下一个解$x'\\in N[x(0)]$,即$x_0$的邻域  \n",
    "- 这个解是否被接受,依赖于以下概率: $$P(x(k)\\rightarrow x')=\\left\\{\\begin{array}{l}1,\\qquad f(x')<f(x(k))\\\\e^{-\\frac{f(x')-f(x(k))}{T_i}},\\qquad otherwise.\\\\\\end{array}\\right.$$\n",
    "- 这是一个马尔可夫过程\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "蒙特卡罗算法得到的路径长度: 222200.52746267183\n",
      "[  0  86  65  84  41  85  23  79  27  55  57  76  87  69  29  58  10  12\n",
      "  16   3  50  28  83  62  82  20  93  44  74   8  71  25  92  63  54  31\n",
      "  61   5   1  19  68  60  66  91  43  40  89  81  47  99  72  14  80  26\n",
      "  64  17  70  15  34  21  88  22  98  48  96  94 100  59  30  51  39  52\n",
      "  90  33  97  56   4   9   7  13  42  45   6  67  73  46  32  49  36  75\n",
      "  95  77  11  24  35  53  37  38   2  78  18 101]\n",
      "模拟退火算法得到的路径长度: 43735.66603479423, 花费时间: 43.73566603479423\n",
      "[  0  34  76   3 100  92  77  19  17  52  80  15  96  88  70  46  29  53\n",
      "  94  16  98  62  73  91  14  65  54  35  12  18   4  51  37  71  99  60\n",
      "  58   9  26  95  13  11   7  41  87  45  89  90  22  42  79  81  21  67\n",
      "  93  20  27  85  40  56  30  10  97  59  43  47  69  25  50   8  82  23\n",
      "   6  48  39  57  75  72  55  36  84  32  33   2  49  83  86  24  44  28\n",
      "  31  78  68  66  38  64   1  63  74   5  61 101]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1425643da48>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 课本例题\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "# 数据读入, reshape\n",
    "data = np.loadtxt('12.D 飞机侦察地理坐标数据.txt')\n",
    "data = data.reshape((data.shape[0]*4, 2))\n",
    "data = np.insert(data, 0, values=[[70,40]],axis=0)\n",
    "data = np.insert(data, data.shape[0], values=[[70,40]],axis=0)\n",
    "# np.savetxt('飞机侦察地理坐标数据.txt',a,fmt='%0.4f')\n",
    "\n",
    "# 地球半径\n",
    "R = 6370\n",
    "\n",
    "# 计算间距\n",
    "d = np.zeros((data.shape[0], data.shape[0]), dtype=np.float)\n",
    "tempdata = data/180*np.pi\n",
    "for i in range(len(d)):\n",
    "    for j in range(i+1, len(d)):\n",
    "        d[i][j] = R*np.arccos(np.cos(tempdata[i][0]-tempdata[j][0]) * np.cos(tempdata[i][1]) * np.cos(tempdata[j][1])\n",
    "                              + np.sin(tempdata[i][1]) * np.sin(tempdata[j][1]))\n",
    "d = d + d.T\n",
    "\n",
    "# 设置np.random的随机种子\n",
    "np.random.seed(0)\n",
    "\n",
    "# 先用蒙特卡洛算法求一个较好的初始解, 做1000次\n",
    "length = np.inf\n",
    "for times in range(1000):\n",
    "    temppath = np.array([0], dtype=np.int)\n",
    "    temppath = np.insert(temppath, 1, values=np.random.permutation([i+1 for i in range(100)]), axis=0)\n",
    "    temppath = np.insert(temppath, temppath.shape[0], values=[101], axis=0)\n",
    "    templen = 0\n",
    "    for i in range(len(temppath)-1):\n",
    "        templen += d[temppath[i]][temppath[i+1]]\n",
    "    if templen < length:\n",
    "        length = templen\n",
    "        path = temppath\n",
    "print('蒙特卡罗算法得到的路径长度: {}'.format(length), path, sep='\\n')\n",
    "\n",
    "# 下面用模拟退火算法\n",
    "# 取降温系数alpha = 0.999, 终止温度e = 1e-30\n",
    "alpha = 0.999\n",
    "e = 1e-30\n",
    "T = 1\n",
    "for times in range(1000000):\n",
    "    u, v = np.random.randint(low=1, high=101, size=(2))\n",
    "    temppath = path.copy()\n",
    "    temppath[u:v+1] = path[v:u-1:-1]\n",
    "    # 计算路径长度差\n",
    "    df = d[path[u-1]][path[v]] + d[path[u]][path[v+1]] - d[path[u-1]][path[u]] - d[path[v]][path[v+1]]\n",
    "    # 尝试接受调整\n",
    "    # 事实上, 不去接受增加长度的改变方式, 对结果几乎没有影响.\n",
    "    # if df < 0:\n",
    "    if df < 0 or np.exp(-df/T) >= np.random.rand():\n",
    "        path = temppath\n",
    "        length += df\n",
    "    T = T * alpha\n",
    "    if T < e:\n",
    "        break\n",
    "        \n",
    "length = 0\n",
    "for i in range(len(path)-1):\n",
    "    length += d[path[i]][path[i+1]]\n",
    "    \n",
    "print('模拟退火算法得到的路径长度: {}, 花费时间: {}'.format(length, length/1000), path, sep='\\n')\n",
    "\n",
    "plt.figure(figsize=(20, 12))\n",
    "divide = 1\n",
    "coordinate_path = np.array([[data[i][0], data[i][1]] for i in path])\n",
    "plt.scatter(coordinate_path[::divide, 0], coordinate_path[::divide, 1], marker='*', color='red')\n",
    "plt.plot(coordinate_path[::divide, 0], coordinate_path[::divide, 1], 'b--')\n",
    "    "
   ]
  }
 ],
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